Group gradings on the classical lie superalgebras Q(n), P(n) and B(m,n)

Dos Santos, Helen Samara (2019) Group gradings on the classical lie superalgebras Q(n), P(n) and B(m,n). Doctoral (PhD) thesis, Memorial University of Newfoundland.

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Let G be an abelian group. We classify, up to isomorphism, the G-gradings on the classical Lie superalgebras B, P and Q, as well as the fine gradings up to equivalence. Also, we revisit the problem for the associative matrix superalgebras. Everything is done over an algebraically closed field of characteristic zero. In summary, this work completes the classification of the group gradings for some of the non-exceptional classical Lie superalgebras. Part of this work is published in [1] and [9].

Item Type: Thesis (Doctoral (PhD))
Item ID: 13828
Additional Information: Includes bibliographical references (pages 105-107).
Keywords: Graded algebra; group grading; simple Lie superalgebra; classical Lie superalgebra
Department(s): Science, Faculty of > Mathematics and Statistics
Date: April 2019
Date Type: Submission
Library of Congress Subject Heading: Lie superalgebras; Abelian groups

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